Question: A farmer is concerned that a change in fertilizer to an organic variant might change his crop yield. He subdivides 6 lots and uses the old fertilizer on one half of each lot and the new fertilizer on the other half. The following table shows the results.
a. Specify the competing hypotheses that determine whether there is any difference between the average crop yields from the use of the different fertilizers.
b. Assuming that crop yields are normally distributed, calculate the value of the test statistic.
c. At the 5% significance level, find the critical value(s).
d. Is there sufficient evident to conclude that the crop yields are different? Should the farmer be concerned?